What is the Least Common Multiple of 6946 and 6964?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 6946 and 6964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6946 and 6964, than apply into the LCM equation.

GCF(6946,6964) = 2
LCM(6946,6964) = ( 6946 × 6964) / 2
LCM(6946,6964) = 48371944 / 2
LCM(6946,6964) = 24185972

Least Common Multiple (LCM) of 6946 and 6964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6946 and 6964. First we will calculate the prime factors of 6946 and 6964.

Prime Factorization of 6946

Prime Factorization of 6964

Now multiplying the highest exponent prime factors to calculate the LCM of 6946 and 6964.

LCM(6946,6964) = 2² × 23¹ × 151¹ × 1741¹
LCM(6946,6964) = 24185972